Paisley invests money in an account paying a simple interest of 8.9% per year. If she invests $80 and no money will be added or removed from the investment, how much will she have in one year, in dollars and cents?​

Answer:

C. Graph C

General Formulas and Concepts:

Algebra II

Step-by-step explanation:

A cubic function would be f(x) = x³. When we graph this, it should look like Graph C.

Answer:

c

Step-by-step explanation:

If x represents the smaller of the two numbers, then the larger number can be represented as x + 56 (since the difference between the two numbers is 56).

Large numbers are numbers that are larger than those used in everyday life, such as simple calculations or currency operations, and often appear in fields such as mathematics, cosmology, cryptography, and similar mathematical machine. These are usually good numbers or more likely really good numbers, but there may be other numbers in other situations.

Given that the difference between the two numbers is 56, and x represents the smaller number, the larger number can be represented as x + 56.

This is because the larger number is 56 units greater than the smaller one (x). So, the larger number is given by the expression: x + 56.

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Answer:

A car bought every 10 seconds? If that is even true

Step-by-step explanation:

The statistical method that is used for identifying the cost behavior is  (e) Least Squares regression method .

The Least Squares Regression method is defined as a statistical technique that is used to determine the relationship between two variables, which are , "the cost" and its "corresponding activity level" .

This method also involves plotting data points on a scatter diagram and fitting a straight line to data points.

The line that best fits data is line that minimizes sum of squared vertical distances between the data points and the line, this is why it is called the Least Squares regression method.

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The given question is incomplete , the complete question is

A statistical method for identifying cost behavior is the:

(a) Scatter diagram method

(b) High low method

(c) Composite method

(d) CVP charting method

(e) Least Squares regression method

The measure of the central angle that was used when cutting the pizza to the nearest tenth is 0.7 radians.

We are given that

Diameter of pizza =d=18 inches,

hence radius of circular pizza =r\(=\frac{\mathrm{d}}{2}=\frac{18}{2}=9$\) inches,

Also, the arc length of a slice of pizza =L=6.5 inches.

Since we know that

Equation 1 where \($\theta$\) is measured in radians.

\(& =\frac{6.5}{9} \\\)

\(& =\frac{65}{90} \\\)

\(& =\frac{13 \times 5}{18 \times 5} \\\)

\(& =\frac{13}{18} \\\)

\(& =0.7 \text { radians }\end{aligned}\)

Therefore,  the measure of the central angle to the nearest tenth is 0.7 radians.

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The domain of the function is: x ∈ [0, ∞)

To find the domain of a function, we need to identify all the values of the independent variable (usually denoted as x) for which the function is defined.

The expression y = x√(x+1) indicates a function that depends on x. The domain of a function is the set of all values of x for which the function is defined.

Since the square root of a negative number is not defined in the real numbers, we must have x+1 ≥ 0, which implies x ≥ -1. However, the condition x > 0 is also given, which means that the domain must satisfy both x > 0 and x ≥ -1. Therefore, the domain of the function is:

x ∈ [0, ∞)

or, in interval notation,[0, ∞).

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Answer:

1. 8.5

2. 6.7

3. 58.8

4. 415.7

5.6.4

6. 2.5

Step-by-step explanation:

I just used a calc

Answer:

45 degrees

Step-by-step explanation:

The slope of the line passing through the points (-5, -4) and (-13, 2) is -3/4.

Slope is simply expressed as a change in y over the change in x.

It is expressed as

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

Given the points:
(-5, -4) and (-13,2)​

Point (-5, -4):

x₁ = -5

y₁ = -4

Point (-13,2)​:

x₂ = -13

y₂ = 2

Plug the given x and y values into the slope formula and simplify.

\(m = \frac{y_2 - y_1}{x_2 - x_1}\\\\m = \frac{2 - (-4)}{-13 - (-5)}\\\\m = \frac{2 + 4}{-13 + 5}\\\\m = \frac{6}{-8}\\\\m = -\frac{3}{4}\)

Therefore, the slope of the line is -3/4.

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Answer:

D. 20 in by 30 in by 10 in

Step-by-step explanation:

The rest of them would equal 600 in³ but answer choice D when multiplied together equaled 6,000 in³.

1. There are 5,565 ways to choose 3 students.

Given:

Number of boys = 18

Number of girls = 17

Number of ways to choose 3 students:

This can be calculated using the combination formula:

\(nCr = n!/(r!(n-r)!)\)

where n is the total number of students and r is the number of students to be chosen.

In this case, the number of ways to choose 3 students from a total of 35 students (18 boys + 17 girls) is:

\(35C3=35!/(3!(35-3)!)=35!/(3!*32!)= 35*34*33/(3*2*1)=5,565\)

2. The probability that the first three children chosen are boys is approximately 0.1467.

Number of ways the first three children chosen can be boys:

Since there are 18 boys in the classroom, the number of ways to choose 3 boys from them is:

\(18C3 =18!/(3!(18-3)!=18!/(3!*15!) = 18*17*16/(3*2*1)= 816\)

Therefore, there are 816 ways to choose the first three children as boys.

Now, to calculate the probability:

Probability = (Number of ways the first three children chosen can be boys) / (Number of ways to choose 3 students)

= 816 / 5565

≈ 0.1467 (rounded to four decimal places)

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A committee must be formed with 4 teachers and 4 students. If there are 6 teachers to choose from and 12 students, how many different ways could the committee be made?

step 1

Find out the combination 4C6 (teachers)

step 2

Find out the combination 4C12 (students)

step 3

Multiply 15 by 495

15*495=7,425 ways

therefore

Step-by-step explanation:

2, 2, 3, 4, 5, 5, 5, 6, 6, 7, 9, 10

_

2+2+3+4+5+5+5+6+6+7+9+10 = 64 ÷ 12 = 5.3

_

Mean: 5.3

Median: 5

Answer:

No!

Step-by-step explanation:

This question is essentially asking if \(\frac{5}{6}\) = \(\frac{3}{4}\)

Well we can easily tell that it doesn't, but if we want to check, we can do cross multiplication.

So we are trying to find out if 5(4) = 3(6).

5(4) = 20 and 3(6) = 18.

\(20 \neq 18\) so \(5:6 \neq 3:4\)

They are not equal!

Answer:

No, because the numbers in the given ratio must be multiplied by the same number.

Step-by-step explanation:

Right on E 2020

Answer:

The answer is B. In step one he should have added 3 negative x-tiles to both sides.

See attachment for complete question.

Answer:

The correct option is B.

In step one he should have added 3 negative x-tiles to both sides.

Step-by-step explanation:

Given the equation

3x + 1 = 4x + (-4)

Adding 3 negative x tiles, we have

3x + 1 + (-3x) = 4x + (-4) + (-3x)

1 = x - 4

x = 1 + 4 = 5

The profit margins (return on sales) for each division are approximately :Division A = 10.85%,Division B = 9.11% and The calculations for the year would be:Net Income = $85,428,Return on Assets = 18.9%.

To compute the profit margins (return on sales) for each division, we divide the profit by the sales and multiply by 100 to express the result as a percentage.

For Division A:

Profit Margin = (Profit / Sales) * 100

Profit Margin = ($230,000 / $2,120,000) * 100

Profit Margin ≈ 10.85%

For Division B:

Profit Margin = (Profit / Sales) * 100

Profit Margin = ($34,700 / $381,000) * 100

Profit Margin ≈ 9.11%

To calculate the net income and return on assets for Polly Esther Dress Shops Inc., we use the given information.

Net Income = Profit Margin * Sales

Net Income = 7% * $1,220,400

Net Income = $85,428

Return on Assets = Profit Margin * Asset Turnover

Return on Assets = 7% * 2.7

Return on Assets = 18.9%

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Answer:

I believe the answer is 9mph

Step-by-step explanation:

The area when Alex has a circular rug the radius of the rug is 5 1/4 feet is 86.625 feet².

It should be noted that the area of a circle is given the formula:

Area of a circle = πr²

where π = 22/7

r = radius = 5 1/4

Therefore, the area will be:

Area = πr²

Area = 22/7 × (5 1/4)²

Area = 22/7 × 25 1/16

Area = 86.625 feet²

The area is 86.625 feet².

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Answer:

y = 16

Step-by-step explanation:

Given y varies inversely as x then the equation relating them is

y = \(\frac{k}{x}\)

To find k use the condition y = 14 when x = 8, thus

14 = \(\frac{k}{8}\) ( multiply both sides by 8 )

112 = k

y = \(\frac{112}{x}\) ← equation of variation

When x = 7, then

y = \(\frac{112}{7}\) = 16

The solution to the equation 4x^2 = 8 is x = ±√2.

To solve this equation, we need to isolate x. Let's go through the steps:

1. Start with the equation: 4x^2 = 8.

2. Divide both sides of the equation by 4 to simplify: (4x^2)/4 = 8/4, which gives x^2 = 2.

3. Take the square root of both sides to solve for x: √(x^2) = ±√2.

4. Since the square root of x^2 is equal to the absolute value of x, we have |x| = ±√2.

5. Therefore, x can be both positive and negative, giving us two possible solutions: x = ±√2.

Hence, the solutions to the equation 4x^2 = 8 are x = ±√2.

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The answers are:

a) The z-score for a light bulb that lasts 500 hours is -10.

b) For a sample of 20 light bulbs, the probability that the average lifespan will be less than 980 hours is approximately 0.0367, or 3.67%.

c) The z-score for a light bulb that lasts 400 hours is -12. This is even more unusual than a lifespan of 500 hours.

d) Given the lifespan follows a normal distribution with a mean of 1000 hours, 50% of the light bulbs will have a lifespan less than 1000 hours.

a) The z-score is calculated as:

z = (X - μ) / σ

Where X is the data point, μ is the mean, and σ is the standard deviation. Here, X = 500 hours, μ = 1000 hours, and σ = 50 hours. So,

z = (500 - 1000) / 50 = -10.

The z-score for a bulb that lasts 500 hours is -10. This is far from the mean, indicating that a bulb lasting only 500 hours is very unusual for this brand of bulbs.

b) If a customer buys 20 of these light bulbs, we're now interested in the average lifespan of these bulbs. . In this case, n = 20, so the standard error is

50/√20

≈ 11.18 hours.

z = (980 - 1000) / 11.18 ≈ -1.79.

The probability that z is less than -1.79 is approximately 0.0367, or 3.67%.

c) The z-score for a bulb with a lifespan of 400 hours can be calculated as:

z = (400 - 1000) / 50 = -12.

The probability associated with z = -12 is virtually zero. So the probability of getting a bulb with a mean lifespan of 400 hours is virtually zero.

d) The mean lifespan is 1000 hours, so half of the light bulbs will have a lifespan less than 1000 hours. Since the lifespan follows a normal distribution, the mean, median, and mode are the same. So, 50% of light bulbs will have a lifespan less than 1000 hours.

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a) The mean of the sampling distribution is 0.139, and the standard deviation is 0.012.

b) The probability of getting a sample proportion of 12% or less is approximately 0.0564.

c) The interval (L, U) is (0.115, 0.163) with a 95% confidence level. This means that we are 95% confident that the true population proportion falls within this interval

a) The mean of the sampling distribution of the sample proportion of individuals of Hispanic origin is equal to the population proportion, which is 13.9% or 0.139. The standard deviation of the sampling distribution can be calculated as

σ = sqrt [ p × (1 - p) / n ]

= sqrt [ 0.139 × (1 - 0.139) / 1500 ]

≈ 0.012

Therefore, the mean of the sampling distribution is 0.139, and the standard deviation is 0.012.

b) To find the probability that such a sample will contain 12% or fewer individuals of Hispanic origin, we need to calculate the z-score for this value and use the standard normal distribution table. The z-score is

z = (0.12 - 0.139) / 0.012

≈ -1.583

Looking up this value in the standard normal distribution table, we find that the probability of getting a sample proportion of 12% or less is approximately 0.0564.

c) To find the interval (L, U) such that 95% of the sample proportions fall in the interval, we need to find the z-scores that correspond to the upper and lower 2.5% tails of the standard normal distribution. These z-scores are approximately ±1.96.

The margin of error for a 95% confidence interval can be calculated as

ME = z × σ

= 1.96 × 0.012

≈ 0.024

The lower and upper bounds of the interval can be found by subtracting and adding the margin of error to the population proportion

L = 0.139 - 0.024 = 0.115

U = 0.139 + 0.024 = 0.163

Therefore, the interval (L, U) is (0.115, 0.163) with a 95% confidence level.

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The given question is incomplete, the complete question is:

The 2010 census found that 13.9% of adults in the US identified themselves as of Hispanic origin. An opinion poll plans to interview 1500 adults at random, e.g., the sample size is 1500.

a) What are the mean and standard deviation of the sampling distribution of the sample proportion of individuals of Hispanic origin?

b) Find the probability that such a sample will contain 12% or fewer individuals of Hispanic origin.

c). What is the interval (L, U), such that the probability is only 2.5% of the sample proportions are greater than U; and the probability is only 2.5% of the sample proportions are lower than L? e.g., 95% of the sample

The expression (15x - 6) / (7x - 6), where no denominator equals zero, is equivalent to (15x - 6) / (7x - 6).

To simplify the expression (15x - 6) / (7x - 6), we can start by factoring the numerator and the denominator if possible. However, since no denominator can equal zero, we need to ensure that the expression 7x - 6 is not equal to zero. Let's solve the equation 7x - 6 = 0 to find the value of x that makes the denominator zero.

7x - 6 = 0

7x = 6

x = 6/7

Since x = 6/7 is the value that makes the denominator zero, we cannot use this value in our simplified expression. Therefore, we need to exclude x = 6/7 from the domain of the expression.

Now, let's consider the remaining values of x that do not make the denominator zero. We can simplify the expression by dividing both the numerator and the denominator by their greatest common divisor. In this case, the greatest common divisor of 15x - 6 and 7x - 6 is 1 since there are no common factors other than 1.

Dividing both the numerator and the denominator by 1 yields:

(15x - 6) / (7x - 6)

Since we cannot further simplify the expression due to the restriction on the domain, the simplified form of the expression, where no denominator equals zero, is:

(15x - 6) / (7x - 6)

In summary, the expression (15x - 6) / (7x - 6), where no denominator equals zero, is equivalent to (15x - 6) / (7x - 6).

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Answer:

See photo #7

Step-by-step explanation:

a) 16 students prefer burgers only.

b) 19 students prefer fries only.

c) 43 students prefer burgers or fries.

d) 0 students prefer neither burgers nor fries.

To find the number of students who prefer burgers only, we subtract the number of students who prefer both from the total number of students who prefer burgers:

a) Students who prefer burgers only = Total students who prefer burgers - Students who prefer both = 28 - 12

= 16

To find the number of students who prefer fries only, we subtract the number of students who prefer both from the total number of students who prefer fries:

b) Students who prefer fries only = Total students who prefer fries - Students who prefer both = 31 - 12

= 19

To find the number of students who prefer burgers or fries, we add the number of students who prefer burgers only, the number of students who prefer fries only, and the number of students who prefer both:

c) Students who prefer burgers or fries = Students who prefer burgers only + Students who prefer fries only + Students who prefer both

= 16 + 19 + 12

= 43

To find the number of students who prefer neither burgers nor fries, we subtract the total number of students who prefer burgers or fries from the total number of students:

d) Students who prefer neither burgers nor fries = Total students - Students who prefer burgers or fries = Total students - (Students who prefer burgers only + Students who prefer fries only + Students who prefer both) = Total students - 43

= Total students - 43

= 0

a) 16 students prefer burgers only.

b) 19 students prefer fries only.

c) 43 students prefer burgers or fries.

d) 0 students prefer neither burgers nor fries.

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Answer:

what are you asking

Step-by-step explanation:

what are u asking

Answer:

96 miles

Step-by-step explanation:

3 multiplied by what gives you 24?

8 right?

So, what you want to do is 8 multiplied by 12.

Doing so you will reach the conclusion that 12 multiplied by 8 equals 96.

So you can go 96 miles on a speedboat with 12 gallons of gas.

I hope this helped you :)

The tangent line has the largest slope at x = 3√2 and x = -3√2 on the curve y = 1 + 60x³ − 2x⁵.

First, let's find the derivative of the given function y = 1 + 60x³ − 2x⁵ using the power rule for differentiation:

dy/dx = 0 + 3(60)x² - 5(2)x⁴

= 180x² - 10x⁴

To find the critical points, we set the derivative equal to zero and solve for x:

180x² - 10x⁴ = 0

Factoring out common terms, we get:

10x²(18 - x²) = 0

Setting each factor equal to zero, we have:

10x² = 0 or 18 - x² = 0

From the first equation, we find x = 0.

From the second equation, we have:

18 - x² = 0

x² = 18

Taking the square root, we get:

x = ±√18

= ±3√2

So the critical points are x = 0, x = 3√2, and x = -3√2.

Now we need to evaluate the slope at these critical points. We can do this by plugging each x-value into the derivative:

When x = 0:

dy/dx = 180(0)² - 10(0)⁴ = 0

When x = 3√2:

dy/dx = 180(3√2)² - 10(3√2)⁴ = 180(18) - 10(216) = 3240 - 2160 = 1080

When x = -3√2:

dy/dx = 180(-3√2)² - 10(-3√2)⁴ = 180(18) - 10(216) = 3240 - 2160 = 1080

The slope is 0 when x = 0 and 1080 when x = 3√2 or x = -3√2.

Therefore, the tangent line has the largest slope at x = 3√2 and x = -3√2 on the curve y = 1 + 60x³ − 2x⁵.

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The complete question is as follows:

At which points on the curve y = 1 + 60x³ − 2x5⁵ does the tangent line have the largest slope?